Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 708 · 40 questions

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

1. 1.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 2 + 3 ÷ 16?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 12 + 6 × 3?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 15 + 5 × 4?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 11 × 9 ÷ 6?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 2 − 4 + 19?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 2 + 2 − 7?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 13 ÷ 12 + 7?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 13 − 19 ÷ 8?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 14 ÷ 11 + 6?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 9 + 5 ÷ 7?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 11 − 5 × 4?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 16 ÷ 2 − 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 9 × 12 ÷ 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 17 + 10 ÷ 20?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 20 ÷ 6 + 11?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 20 ÷ 16 − 8?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 2 − 14 + 13?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 15 − 14 × 7?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 17 − 14 + 17?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 12 × 19 ÷ 14?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 3 × 2 − 3?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 7 ÷ 6 × 15?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 5 × 12 ÷ 2?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 7 ÷ 7 + 14?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 10 ÷ 4 + 5?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 10 × 7 ÷ 7?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 12 ÷ 18 × 3?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 3 ÷ 4 − 15?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 12 + 4 ÷ 2?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 18 × 16 ÷ 14?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 × 5 + 15?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 14 − 14 + 14?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 9 + 18 × 9?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 5 ÷ 4 × 17?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 12 − 20 × 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 19 − 19 ÷ 14?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 9 − 19 × 18?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 2 ÷ 6 − 16?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 ÷ 17 × 9?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 16 ÷ 5 + 18?

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